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Chapter 2: Q13. (page 145)

Solve each equation. Then graph the solution set.

|p-4|=6

Short Answer

Expert verified

The solution set of the equation is{10,鈭�2}.

The graph of the solution set is:

Step by step solution

01

Step 1. Given information.

We have an equation |p鈭�4|=6.

To find the value of and plot the graph of solution.

02

Step 2. Apply concept.

We apply the concept of modulus function.

Asx=xifx鈮�0-xifx>0

03

Step 3. Calculation.

Here will exist two cases for the modulus function:

Case1:p-4=6p=6+4p=10Case2:p-4=-6p=-6+4p=-2

Hence, the solution set of the given expression is {10,鈭�2}.

The graph of the solution set:

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